What is written as a complex number in the form ? A. B. C. D.

What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?

Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

6 0

3 years ago

Which of the following is equal to the fraction below?

Alecsey [184]

Wish I can help , but you didn’t show any fractions nor anything I can use to answer your question . Can you mark me brainliest for effort !?

4 0

3 years ago

HELP SOLVE THANK YOU!

Lera25 [3.4K]

Answer:

Solution 1: 1+1 $\sqrt{3}$

Solution 2: 1- $1\sqrt{3}$

Step-by-step explanation:

x^2-2=2x

x^2-2x-2=0

Use quadratic equation.

(-b+- $\sqrt{b^2-4ac}$ )/2a

(2+- $\sqrt{(-2)^2-4*1*-2}$ )/2

(2+- $\sqrt{(4+8})$ )/2

(2+- $\sqrt{12}$ )/2

Solution 1: (2+2 $\sqrt{3}$ )/2=1+1 $\sqrt{3}$

Solution 2: 1- $1\sqrt{3}$

4 0

1 year ago

Read 2 more answers

Help and please number the answers accurately thanks a lot!

kvasek [131]

Answer:

I KNOWW THE ANSWER!!

Step-by-step explanation:

7 0

2 years ago

Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with

saw5 [17]

Answer:

b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

The sum of angles in a triangle is 180°, no more, no less.
The sum of the lengths of the two shortest sides exceeds the longest side.
When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

Additional comment

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

__

The congruence postulates for triangles are ...

SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define a singular triangle. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the longest specified side, regardless of that angle's measure. However, when the angle is opposite the shortest specified side, the above-described ratio restriction holds. If the sine of the angle is less than the ratio of sides, then two possible triangles are specified.

4 0

2 years ago